Ⅱ型模糊集合与系统研究进展  

A survey of type-2 fuzzy sets and systems

作　　者：潘永平[1] 孙宗海[1] 黄道平[1] 

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510640

出　　处：《控制理论与应用》2011年第12期1693-1703,共11页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60704012);中央高校科研业务费资助项目(2009zm0161)

摘　　要：Ⅱ型模糊集合是传统Ⅰ型模糊集合的扩展,其本质是模糊集合中隶属度值的再次模糊化表示.Ⅱ型模糊集合可以直接处理模糊规则的不确定性,是解决现实环境高不确定性问题的有效手段.本文首先简要给出了Ⅱ型模糊集合与系统的基本概念,然后分别回顾了广义和区间Ⅱ型模糊理论的发展历史.接着分别讨论了广义和区间Ⅱ型模糊系统的计算复杂性问题研究进展,并进一步介绍了基于区间Ⅱ型模糊集合的词计算理论发展状况.最后给出了本文的结论和进一步研究问题的展望.A type-2 fuzzy set（T2-FS）, which essentially is the refuzzification presentation of membership values in the fuzzy set, is the extension of the traditional type-1 fuzzy set（T1-FS）. The T2-FS can directly deal with the uncertainty of fuzzy rules; thus, it is an effective approach to solving the problems with high uncertainties in realistic environment. In this paper, the basic terminologies of the T2-FS and the type-2 fuzzy logic system（T2-FLS） are briefly introduced. The developments of the generalized fuzzy theory and the interval type-2 fuzzy theory are reviewed, respectively. The progress in tackling the computational complexity in the interval and generalized T2-FLS is also discussed. The theory of computing with words based on the interval T2-FS is introduced in further. Finally, conclusion remarks and further research prospects of the type-2 fuzzy theory are given.

关 键 词：Ⅱ型模糊集合 Ⅱ型模糊系统 计算复杂性 词计算 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O159[自动化与计算机技术—控制科学与工程]